Quad name

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"The quad ⎕ can be used to define the geometries of the other APL characters, since all the APL characters can be described by their relationship to it. The quad character was originally chosen for the font so that it could be used around any of the other characters. In particular, it was chosen to be a size such that it fit around any of the alphabetic characters. For example, the top of the bottom line of the quad is the base line of the alphabetic and numeric characters, and the bottom of the top of the quad is their top. The geometric center of the quad is the center of many of the APL special symbols. In particular, function symbols are normally raised above the baseline of characters — this position is known as the "function center." It is interesting to note that the dimensions of the quad are the "golden section" which is a well-accepted esthetic criterion in art and design."

Joey K. Tuttle. APL pi — designing an APL type font, 1981.

A quad name or system name is a general term for built-ins denoted by a name beginning with the quad character, ⎕. The term only used when explicitly needing to cover all syntactic classes of such built-ins; constants, variables, objects, functions and operators. It is common to call these system constants, system variables, etc., although the term system function is often used as a synonym for quad name. Quad names are used for features that abide by the normal syntax, but are not part of the core language. ⎕ by itself (standard output/evaluated input) and ⍞ (message output/standard input) are often included in the quad name category.

Support

Dialects vary widely in their repertoire of quad names, but generally agree on their naming, so if two dialects share a quad name, it is likely that the meaning of it is identical or very similar. As opposed to other alphabetical identifiers, system names are case insensitive (except ⎕a in APLX), though most traditionally uppercase them. One of the most commonly system variables is ⎕IO (Index origin).

Classes

Quad names can have any of the existing syntactic classes:

  • System constants are handy values like the alphabet (⎕A), but can also be used to query various global states, like the current time stamp (⎕TS). Of course, the time will vary, so it isn't constant in that sense, however, but they are constant in that they cannot be altered by assignment.
  • System variables are used to alter the behaviour of the language. For example the number of significant digits displayed can be controlled by setting the print precision (⎕PP).
  • System objects are references to namespaces, in particular the session object (⎕SE).
  • System functions are various utility functions, like ⎕FX to define ("FiX") a function under program control.
  • System operators only occur in Dyalog APL and are used for things like text search and replace (⎕S and ⎕R).

Like primitives, quad names exhibit behaviour as if there's one copy in each namespace, and so for some of them, their value can vary depending on the namespace in which they are used.

Unusual behaviour

Some system variables exhibit behaviour that is unusual for other items of their class. for example:

  • While ⎕ and ⍞ syntactically act like variables, they have the side effect of printing whatever is assigned to them, to stdout and stderr respectively.
  • ⎕OFF and ⎕CLEAR behave syntactically as constants, although when querying their value, the interpreter will shut down or clear the workspace, respectively.
  • Variant, ⎕OPT (which is a synonym of the primitive operator ⍠), is syntactically a normal operator, but it amends a current state of settings for its operand, which may itself have an associated state though its usage.
  • The base class object, ⎕BASE, cannot be used by itself, only with a namespace dot after it, to access the inside of the current object's base class. Therefore, one must use the current namespace system object, inside the base object to get a reference to the base class; ⎕BASE.⎕THIS.

External links

Lessons

Documentation

APL features [edit]
Built-ins Primitives (functions, operators) ∙ Quad name
Array model Shape ∙ Rank ∙ Depth ∙ Bound ∙ Index (Indexing) ∙ Axis ∙ Ravel ∙ Ravel order ∙ Element ∙ Scalar ∙ Vector ∙ Matrix ∙ Simple scalar ∙ Simple array ∙ Nested array ∙ Cell ∙ Major cell ∙ Subarray ∙ Empty array ∙ Prototype
Data types Number (Boolean, Complex number) ∙ Character (String) ∙ Box ∙ Namespace ∙ Function array
Concepts and paradigms Conformability (Scalar extension, Leading axis agreement) ∙ Scalar function (Pervasion) ∙ Identity element ∙ Complex floor ∙ Array ordering (Total) ∙ Tacit programming (Function composition, Close composition) ∙ Glyph ∙ Leading axis theory ∙ Major cell search ∙ First-class function
Errors LIMIT ERROR ∙ RANK ERROR ∙ SYNTAX ERROR ∙ DOMAIN ERROR ∙ LENGTH ERROR ∙ INDEX ERROR ∙ VALUE ERROR ∙ EVOLUTION ERROR
APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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